Details

Time bar (total: 3.9s)

sample18.0ms

Algorithm
intervals
Results
9.0ms266×body80valid

simplify79.0ms

Algorithm
egg-herbie
Counts
1 → 1
Iterations

Useful iterations: 0 (1.0ms)

IterNodesCost
0256
1676
21456
32416
43016
53556
63966
74446
85296
97446
1022186
1150016

prune2.0ms

Filtered
1 candidates to 0 candidates (0.0%)
Pruning

2 alts after pruning (2 fresh and 0 done)

PrunedKeptTotal
New011
Fresh011
Picked000
Done000
Total022

Merged error: 16.9b

Counts
2 → 1

localize11.0ms

Local error

Found 2 expressions with local error:

0.0b
(* (+ t1 u) (+ t1 u))
16.6b
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

rewrite21.0ms

Algorithm
rewrite-expression-head
Rules
20×*-un-lft-identity
16×add-exp-log add-cbrt-cube
12×flip3-+ flip-+
9×pow1
8×add-sqr-sqrt frac-times associate-/r/
6×add-cube-cbrt swap-sqr distribute-lft-out
5×prod-exp cbrt-unprod
4×cbrt-undiv associate-*r/ div-exp associate-*r* associate-*l* associate-*l/
2×expm1-log1p-u log1p-expm1-u add-log-exp
1×distribute-lft-neg-out pow2 distribute-rgt-in frac-2neg distribute-lft-in times-frac pow-plus distribute-frac-neg pow-prod-down clear-num associate-/r* pow-sqr *-commutative pow-prod-up div-inv associate-/l* unswap-sqr
Counts
2 → 74
Calls
2 calls:
8.0ms
(* (+ t1 u) (+ t1 u))
10.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

series85.0ms

Counts
2 → 6
Calls
2 calls:
14.0ms
(* (+ t1 u) (+ t1 u))
71.0ms
(/ (* (- t1) v) (* (+ t1 u) (+ t1 u)))

simplify60.0ms

Algorithm
egg-herbie
Counts
80 → 80
Iterations

Useful iterations: 2 (53.0ms)

IterNodesCost
0390509
12114426
25002422

prune124.0ms

Filtered
80 candidates to 45 candidates (56.3%)
Pruning

6 alts after pruning (6 fresh and 0 done)

PrunedKeptTotal
New74680
Fresh000
Picked101
Done000
Total75681

Merged error: 0.0b

Counts
81 → 6

localize7.0ms

Local error

Found 3 expressions with local error:

0.0b
(/ v (+ t1 u))
0.0b
(/ (- t1) (+ t1 u))
1.7b
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

rewrite47.0ms

Algorithm
rewrite-expression-head
Rules
125×*-un-lft-identity
108×times-frac
81×add-sqr-sqrt
69×add-cube-cbrt
46×associate-*l*
28×distribute-lft-out
27×distribute-lft-neg-in distribute-rgt-neg-in
19×add-exp-log add-cbrt-cube
18×associate-*r*
13×associate-/l*
9×neg-mul-1
8×associate-/r* associate-/r/
6×cbrt-undiv div-exp
5×pow1
4×flip3-+ prod-exp cbrt-unprod flip-+ div-inv unswap-sqr
3×expm1-log1p-u log1p-expm1-u add-log-exp
2×frac-2neg distribute-frac-neg clear-num
1×distribute-lft-neg-out neg-sub0 frac-times div-sub associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
3 → 198
Calls
3 calls:
5.0ms
(/ v (+ t1 u))
6.0ms
(/ (- t1) (+ t1 u))
28.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

series187.0ms

Counts
3 → 9
Calls
3 calls:
23.0ms
(/ v (+ t1 u))
45.0ms
(/ (- t1) (+ t1 u))
119.0ms
(* (/ (- t1) (+ t1 u)) (/ v (+ t1 u)))

simplify64.0ms

Algorithm
egg-herbie
Counts
207 → 207
Iterations

Useful iterations: 2 (49.0ms)

IterNodesCost
06021313
127281228
250021224

prune329.0ms

Filtered
207 candidates to 140 candidates (67.6%)
Pruning

10 alts after pruning (9 fresh and 1 done)

PrunedKeptTotal
New2016207
Fresh235
Picked011
Done000
Total20310213

Merged error: 0b

Counts
213 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
0.6b
(cbrt v)
0.6b
(cbrt v)
0.6b
(cbrt v)

rewrite16.0ms

Algorithm
rewrite-expression-head
Rules
33×cbrt-prod
29×*-un-lft-identity
23×add-sqr-sqrt
15×add-cube-cbrt
12×cbrt-div
11×pow1
9×pow1/3 swap-sqr
7×associate-*r* associate-*l*
6×add-exp-log flip3-+ flip-+ distribute-lft-out
4×expm1-log1p-u frac-times add-cbrt-cube log1p-expm1-u add-log-exp unswap-sqr
2×associate-*r/ pow-prod-down associate-*l/ pow-sqr pow-prod-up
1×pow2 pow-plus prod-exp *-commutative cbrt-unprod
Counts
4 → 94
Calls
4 calls:
10.0ms
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
1.0ms
(cbrt v)
1.0ms
(cbrt v)
1.0ms
(cbrt v)

series687.0ms

Counts
4 → 12
Calls
4 calls:
165.0ms
(* (cbrt (+ t1 u)) (cbrt (+ t1 u)))
172.0ms
(cbrt v)
179.0ms
(cbrt v)
171.0ms
(cbrt v)

simplify117.0ms

Algorithm
egg-herbie
Counts
106 → 106
Iterations

Useful iterations: 3 (109.0ms)

IterNodesCost
0231551
1795519
23633472
35001468

prune274.0ms

Filtered
106 candidates to 77 candidates (72.6%)
Pruning

10 alts after pruning (8 fresh and 2 done)

PrunedKeptTotal
New1060106
Fresh088
Picked011
Done011
Total10610116

Merged error: 0b

Counts
116 → 10

localize15.0ms

Local error

Found 4 expressions with local error:

0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.6b
(cbrt t1)
0.8b
(* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

rewrite39.0ms

Algorithm
rewrite-expression-head
Rules
75×add-sqr-sqrt
67×times-frac
62×cbrt-prod
60×*-un-lft-identity
48×associate-*l*
42×add-cube-cbrt
18×associate-*r*
16×add-exp-log
12×add-cbrt-cube
10×unswap-sqr
9×distribute-lft-out
6×pow1
4×cbrt-undiv expm1-log1p-u div-exp prod-exp associate-/r/ cbrt-unprod log1p-expm1-u add-log-exp
3×pow1/3
2×cbrt-div flip3-+ flip-+ div-inv
1×frac-times associate-*r/ pow-prod-down associate-*l/ *-commutative
Counts
4 → 137
Calls
4 calls:
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
1.0ms
(cbrt t1)
29.0ms
(* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

series678.0ms

Counts
4 → 12
Calls
4 calls:
174.0ms
(cbrt t1)
174.0ms
(cbrt t1)
179.0ms
(cbrt t1)
149.0ms
(* (/ (cbrt t1) (cbrt (+ t1 u))) (/ v (+ t1 u)))

simplify52.0ms

Algorithm
egg-herbie
Counts
149 → 149
Iterations

Useful iterations: 2 (40.0ms)

IterNodesCost
05041097
118891033
250011026

prune406.0ms

Filtered
149 candidates to 122 candidates (81.9%)
Pruning

10 alts after pruning (7 fresh and 3 done)

PrunedKeptTotal
New1490149
Fresh077
Picked011
Done022
Total14910159

Merged error: 0b

Counts
159 → 10

regimes102.0ms

Accuracy

0% (1.7b remaining)

Error of 1.7b against oracle of 0.0b and baseline of 1.7b

bsearch0.0ms

simplify3.0ms

Algorithm
egg-herbie
Iterations

Useful iterations: 0 (0.0ms)

IterNodesCost
01918
12318
23418
33918
44318
54318

end0.0ms

sample431.0ms

Algorithm
intervals
Results
264.0ms8251×body80valid